Topological transformations of three-dimensional dissipative solitons
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 134-150
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We classify and analyze transformations of three-dimensional dissipative tangle-solitons, i.e., solitons with closed and nonclosed vortex lines, under smooth variations of the system parameters. An example of such a system is a laser medium with fast saturable absorption. We find several scenarios of both reversible and irreversible transformations and discuss the role of the dissipative property of the system (openness) in specific features of these phenomena.
Keywords:
dissipative, laser, topological, three-dimensional soliton, hysteresis.
@article{TMF_2020_203_1_a9,
author = {N. N. Rosanov and S. V. Fedorov and N. A. Veretenov},
title = {Topological transformations of three-dimensional dissipative solitons},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {134--150},
publisher = {mathdoc},
volume = {203},
number = {1},
year = {2020},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a9/}
}
TY - JOUR AU - N. N. Rosanov AU - S. V. Fedorov AU - N. A. Veretenov TI - Topological transformations of three-dimensional dissipative solitons JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2020 SP - 134 EP - 150 VL - 203 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a9/ LA - ru ID - TMF_2020_203_1_a9 ER -
%0 Journal Article %A N. N. Rosanov %A S. V. Fedorov %A N. A. Veretenov %T Topological transformations of three-dimensional dissipative solitons %J Teoretičeskaâ i matematičeskaâ fizika %D 2020 %P 134-150 %V 203 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a9/ %G ru %F TMF_2020_203_1_a9
N. N. Rosanov; S. V. Fedorov; N. A. Veretenov. Topological transformations of three-dimensional dissipative solitons. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 134-150. http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a9/